Random Walk on Random Infinite Looptrees
نویسندگان
چکیده
منابع مشابه
Random stable looptrees*
We introduce a class of random compact metric spaces Lα indexed by α ∈ (1, 2) and which we call stable looptrees. They are made of a collection of random loops glued together along a tree structure, and can informally be viewed as dual graphs of α-stable Lévy trees. We study their properties and prove in particular that the Hausdorff dimension of Lα is almost surely equal to α. We also show tha...
متن کاملPercolation on Random Triangulations and Stable Looptrees
We study site percolation on Angel & Schramm’s Uniform Infinite Planar Triangulation. We compute several critical and near-critical exponents, and describe the scaling limit of the boundary of large percolation clusters in all regimes (subcritical, critical and supercritical). We prove in particular that the scaling limit of the boundary of large critical percolation clusters is the random stab...
متن کاملRandom Infinite Permutations and the Cyclic Time Random Walk
The random stirring process is a natural random walk on the set of permutations of the vertex set of a graph. The cyclic time random walk is a self interacting random walk on a graph. It is influenced by its past, in that it is constrained to repeat its past choices if it returns to a previously visited edge after a multiple of some period of time. The two models are fundamentally equivalent to...
متن کاملRandom walk on random walks
In this paper we study a random walk in a one-dimensional dynamic random environment consisting of a collection of independent particles performing simple symmetric random walks in a Poisson equilibrium with density ρ ∈ (0,∞). At each step the random walk performs a nearest-neighbour jump, moving to the right with probability p◦ when it is on a vacant site and probability p• when it is on an oc...
متن کاملRandom walk on the incipient infinite cluster on trees
Let G be the incipient infinite cluster (IIC) for percolation on a homogeneous tree of degree n0 +1. We obtain estimates for the transition density of the the continuous time simple random walk Y on G; the process satisfies anomalous diffusion and has spectral dimension 4 3 . 2000 MSC. Primary 60K37; Secondary 60J80, 60J35.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2015
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-014-1174-9